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EXPAND THE MODAL OPERATOR DIAGRAM WITH Z

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In this paper, we expanded Atanassov’s last diagram of modal operators over intuitionistic fuzzy sets . For this purpose, we defined a new modal oparator Z over intuitionistic fuzzy sets. It is shown that this opara-tor is the generalation of the operators E and represented by.

Abstract

In this paper, we expanded Atanassov’s last diagram of modal operators over intuitionistic fuzzy sets . For this purpose, we defined a new modal oparator Z over intuitionistic fuzzy sets. It is shown that this opara-tor is the generalation of the operators E and represented by.

참고문헌 (12)

  1. Atanassov K.T., "Intuitionistic Fuzzy Sets", VII ITKR's Session (1983)
  2. Atanassov K.T., "Intuitionistic Fuzzy Sets", Fuzzy Sets and Systems, 20, pp.87~96 (1986)
  3. Atanassov K.T., "Intuitionistic Fuzzy Sets" (1999), Phiysica-Verlag
  4. Atanassov K.T., "Remark on Two Operations Over Intuitionistic Fuzzy Sets", Int. J. of Uncer-atanity, Fuzzyness and Knowledge Syst, 9(1), pp.71~75 (2001)
  5. Atanassov K.T., "On the type of intuitionistic fuzzy modal operators", NIFS, 11(5), pp.24~28 (2005)
  6. Atanassov K.T., "The most general form of one type of intuitionistic fuzzy modal operators", NIFS, 12(2), pp.36~38 (2006)
  7. K. T. Atanassov, "Some properties of the operators from one type of intuitionistic fuzzy modal operators", Advanced Studies in Contemporary Mathematics, 15(1), pp.13~20 (2007), 장전수학회
  8. Atanassov K.T., "The most general form of one type of intuitionistic fuzzy modal operators, Part 2", NIFS, 14(1), pp.27~32 (2008)
  9. Atanassov K.T., "Theorem for equivalence of the two most general intuitionistic fuzzy modal operators", NIFS, 15(1), pp.26~31 (2008)
  10. G. Cuvalcioglu, "Some properties of E_a,b operator", Advanced Studies in Contemporary Mathematics, 14(2), pp.305~310 (2007), 장전수학회
  11. Dencheva K., "Extension of intuitionistic fuzzy modal operators  and", Proc.of the Second Int. IEEE Symp. Intelligent systems, 통권 : 3, pp.21~22 (2004)
  12. Doycheva B., "Inequalities with intuitionistic fuzzy topological and Gökhan Çuvalcioglu's op-erators", NIFS, 14(1), pp.20~22 (2008)

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